HELP PLEASEEE!!! BRAINLIEST!!!Which expression correctly shows 20x^4−25x^3+60x^2−75x factored completely over the integers?
(x^2+3)(4x−5)
5x^2(x+4)(3x−5)
5x(x^2+3)(4x−5)
5x(x^2−3)(4x+5)
Answers
The expression correctly shows 20x⁴-25x³+60x²-75x will be 5x(x²+3)(4x-5).Option C is correct.
What is the equation?
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
The expression is,
=20x⁴-25x³+60x²-75x
Take 5x³ from the first two terms and 15x from the third and fourth terms as
=20x⁴-25x³+60x²-75x
=5x³(4x-5) + 15x(4x-5)
=(5x³+15x)(4x-5)
Thus, the expression correctly shows 20x⁴-25x³+60x²-75x will be 5x(x²+3)(4x-5). Option C is correct.
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Step-by-step explanation:
The third option: 5x(x^2+3)(4x-5)
because FOIL first, inner, outter, last
The two parentheses become (4x^3-5x^2+12x)
then 5x outside multiplys that whole parentheses. To get your correct expression
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Answers
The similarity is that a Cube and cylinder both have 3-D shapes.
The difference is that a cube has vertices while a cylinder has none.
What is a Cylinder?
This can be referred to a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.
When compared to a Cube they both have certain similarities and differences which are mentioned above.
Read more about Cylinder here brainly.com/question/9554871
A cube has vertices, a cylinder has none.
Answers
78 - x + 36 + 3x - 10 = 180 (straight angle)
Now solve for x
78 - x + 36 + 3x - 10 = 180
2x + 68 = 180
- 68 -68 (subtract 68 on both sides)
2x = 58
x = 29
Answers
sorry if I make this confusing.
basically divide the top by the bottom to see which is larger. Then compare the fractions.
1. You can convert the fraction into a decimal. For example,
1/3 = 1÷3=0.3333..
1/4 = 1÷4=0.25
The fraction are between 0 and 1/2. It can be seen that 1/3 > 1/4.
2. Making the to have the same denominator. For example,
1/3 and 1/4
The lcm of 3 and 4 is 12. So, we can make the 2 fractions to have the same denominater which is 12.
1/3 = 4/12
1/4 = 3/12
Since the dinominator is the same, we can compare the fraction by considering the numerator.
4 > 3, so, 1/3 > 1/4
Answers
by powers of 10.
Answers
The pattern of zeros in the product when multiplying by powers of 10 is a result of our base-10 decimal system. Each place value in a decimal number represents a power of 10.
When you multiply a number by a power of 10, you are essentially shifting its digits to the left by the number of places equal to the exponent of 10.
Let's illustrate this with an example. Suppose we have the number 456, and we want to multiply it by powers of 10:
1. 456 multiplied by 10:
- When we multiply 456 by 10, we are essentially shifting all the digits one place to the left. So, we get 4560. Here, we've added one zero.
2. 456 multiplied by 100:
- When we multiply 456 by 100, we are shifting all the digits two places to the left. So, we get 45600. In this case, we've added two zeros.
3. 456 multiplied by 1,000:
- When we multiply 456 by 1,000, we are shifting all the digits three places to the left. So, we get 456000. Here, we've added three zeros.
And so on...
In general, when you multiply a number by 10 raised to the power of "n," you will add "n" zeros to the end of that number. This is a fundamental concept in our decimal number system and is why the pattern of zeros emerges when multiplying by powers of 10. Each power of 10 represents a place value shift, and adding zeros simply extends the number in the same manner.
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Answer:
One zero is always added when the power is added by +1
Step-by-step explanation:
Answers
Answer:
Short answer: They are essentially the same thing.
The distance formula is derived from the Pythagorean Theorem
We have distance formula:
Pythagorean Theorem:
The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.
We can have a point and point
But once and
can be positive or negative:
Answer:
The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.
DISTANCE FORMULA
The study of geometry in a graphical environment is called co-ordinate geometry.
In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.
Step-by-step explanation: